NEF model is a kinetic model for amyloid fiber formation, which includes three fundamental mechanisms -- Nucleation, Elongation and Fragmentation.

It is based on chemical master equations, and can be used for the quantitative description of the time evolution of mass concentration M(t) and number concentration P(t) of filaments. The differences of amyloid proteins and experimental conditions are characterized through reaction rates for fiber nucleation ( kn), elongation (k+) and fragmentation (k-) as well as critical nucleus size (nc).

Following is an example which shows the data fitting of amyloid protein,Csg Btrunc, under different initial protein concentrations by NEF model(The circles are experimental data and dashed curves are fitting curves.

Data Analysis by NEF Model
Click NEFmodel.c to download the source code of NEF model coded in C. You can
compile the program in your computer by
>gcc -lm -o NEFmodel NEFmodel.c
References:
L. Hong, X.H. Qi, Y. Zhang,
Dissecting the Kinetic Process of Amyloid Fiber Formation through Asymptotic
Analysis, Journal of Physical Chemistry, in press (2011).
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